Find all points on x+y=4 that lie at a u...

Find all points on `x+y=4` that lie at a unit distance from the line `4x+3y-10=0.`

A

`(3,1),(-7,11)`

B

`(3,1),(7,11)`

C

`(-3,1),(-7,11)`

D

`(1,3),(-7,11)`

Text Solution

Verified by Experts

The correct Answer is:

A

Promotional Banner

Promotional Banner

Topper's Solved these Questions

STRAIGHT LINES
AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION B) (OBJECTIVE TYPE QUESTIONS) (ONLY ONE ANSWER)|33 Videos
STRAIGHT LINES
AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION C) (OBJECTIVE TYPE QUESTIONS) (MORE THAN ONE ANSWER)|14 Videos
STRAIGHT LINES
AAKASH INSTITUTE ENGLISH|Exercise TRY YOURSELF|23 Videos
STATISTICS
AAKASH INSTITUTE ENGLISH|Exercise Section-C Assertion-Reason|15 Videos
THREE DIMENSIONAL GEOMETRY
AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - J|10 Videos

Similar Questions

Explore conceptually related problems

The points on x+y=4 that lie at a unit distance from the line 4x+3y-10= are

The points on x+y=4 that lie at a unit distance from the line 4x+3y-10= are

Find all points on the line x+y=4 that lie at a unit distance from the line 4x+3y=10 .

Find all points on x - y + 2 = 0 that lie at a unit distance from the line 12x - 5y + 9 = 0

The sum of square of the abscissas fo all the points on the line x+y=4 that lie at a unit distance from the line 4x+3y-10=0 is

The absolute value of the sum of the abscissas of all the points on the line x+y=4 that lie at a unit distance from the line 4x+3y-10=0 is___________

The absolute value of the sum of the abscissas of all the points on the line x+y=4 that lie at a unit distance from the line 4x+3y-10=0 is___________

Find the points on x=0 line whose perpendicular distance from the line 4x-3y-12=0 is 3.

Find the points on y -axis whose perpendicular distance from the line 4x-3y-12=0 is 3.

Find the points on y- ais whose perpendicular distance from the line 4x-3y-12=0 is 3.

AAKASH INSTITUTE ENGLISH-STRAIGHT LINES-ASSIGNMENT (SECTION A) (OBJECTIVE TYPE QUESTIONS) (ONLY ONE ANSWER)

Find the equation of the line passing through the point (-4, -5) and p...
Text Solution
|
The equation of the line, which is perpendicular to 5x-2y=7 and passes...
Text Solution
|
In what ratio is the line joining the points (2,3)a n d(4,1) divides t...
Text Solution
|
Equation of the line passing through (1,2) and parallel to the line y=...
Text Solution
|
Find the equation of the straight line which passes through the point ...
Text Solution
|
The equation of the line passing through the point (1,2) and perpendic...
Text Solution
|
A line cutting off intercept -3 from the Y-axis and the tangent at ang...
Text Solution
|
The equation of the straight line passing through the point (3,2) and ...
Text Solution
|
Find the equation of the straight line on which the length of the pe...
Text Solution
|
The equation of straight line passing through the point of intersectio...
Text Solution
|
If the intercept of a line between the coordinate axes is divided by ...
Text Solution
|
Let P S be the median of the triangle with vertices P(2,2),Q(6,-1)a...
Text Solution
|
The equation of the line through the origin and perpendiculr to the li...
Text Solution
|
A line passes through the point (2,2) and is perpendicular to the line...
Text Solution
|
The distance between the lines y=mx+c(1) and y=mx+c(2) is
Text Solution
|
The distance of the point P(1,-3) from the line 2y-3x=4 is (A) 13 ...
Text Solution
|
The distance between the lines 3x + 4y = 9 and 6x + 8y = 15 is :
Text Solution
|
The distance of the point of intersection of the lines 2x-3y+5=0 and 3...
Text Solution
|
What are the points on x-axis whose perpendicular distance from the ...
Text Solution
|
Find all points on x+y=4 that lie at a unit distance from the line 4x+...
Text Solution
|